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Finding the Fourth Proportional to 2,708.56, 3,738.07 and 1,646.09

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Solution

The fourth proportional to 2,708.56, 3,738.07 and 1,646.09 is: 2,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.56 : 3,738.07 = 1,646.09 : x
  2. Step 2: Convert to fraction form
    2,708.56/3,738.07 = 1,646.09/x
  3. Step 3: Cross multiply
    2,708.56x = 3,738.07 × 1,646.09
  4. Step 4: Simplify right side
    2,708.56x = 6,153,180.96
  5. Step 5: Solve for x
    x = 6,153,180.96/2,708.56
  6. Step 6: Final answer
    x = 2,271.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.